Granular Matter

, Volume 16, Issue 4, pp 509–515 | Cite as

Shear dispersion in dense granular flows

Original Paper

Abstract

We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the Péclet number squared, as in classical Taylor–Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.

Keywords

Taylor–Aris dispersion Rapid granular flow Bagnold profile Granular diffusion 

Notes

Acknowledgments

I.C.C. was supported by the National Science Foundation (NSF) under Grant No. DMS-1104047 (at Princeton University) and by the LANL/LDRD Program through a Feynman Distinguished Fellowship (at Los Alamos National Laboratory). LANL is operated by Los Alamos National Security, L.L.C. for the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396. H.A.S. thanks the NSF for support via Grant No. CBET-1234500. We acknowledge useful discussions with Ian Griffiths and Gregory Rubinstein on the derivation of the dispersion equations for the case of non-constant diffusivity, and we thank Ben Glasser for helpful conversations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringPrinceton UniversityPrincetonUSA
  2. 2.Theoretical Division and Center for Nonlinear StudiesLos Alamos National LaboratoryLos AlamosUSA

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